Chaotic level mixing in a two-band Bose-Hubbard model

被引：1
|
作者：
Parra-Murillo, Carlos A. [1 ]
Madronero, Javier [2 ]
Wimberger, Sandro [3 ,4 ]
机构：
[1] Univ Fed Minas Gerais, ICEX, Dept Fis, BR-30161970 Belo Horizonte, MG, Brazil
[2] Univ Valle, Dept Fis, Cali, Colombia
[3] Univ Parma, Dipartimento Fis & Sci Terra, I-43124 Parma, Italy
[4] Grp Coll Parma, Sez Milano Bicocca, Ist Nazl Fis Nucl, Parma, Italy
来源：
ANNALEN DER PHYSIK | 2015年 / 527卷 / 9-10期
关键词：
Bose-Hubbard model; quantum transport; ultracold atoms; Wannier-Stark; quantum chaos; AVOIDED CROSSINGS; QUANTUM; EXCITATION; DYNAMICS; GASES;
D O I：
10.1002/andp.201400200
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A two-band Bose-Hubbard model is presented which is shown to be minimal in the necessary coupling terms at resonant tunneling conditions. The dynamics of the many-body problem is studied by sweeping the system across an avoided level crossing. The linear sweep generalizes Landau-Zener transitions from single-particle to many-body realizations. The temporal evolution of single-and two-body observables along the sweeps is investigated in order to characterize the non-equilibrium dynamics in our complex quantum system.
引用
收藏
页码：656 / 662
页数：7
相关论文
共 50 条
  • [1] Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
    Cosme, Jayson G.
    PHYSICAL REVIEW A, 2018, 97 (04)
  • [2] Collapse and revival in inter-band oscillations of a two-band Bose-Hubbard model
    Ploetz, Patrick
    Madronero, Javier
    Wimberger, Sandro
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2010, 43 (08)
  • [3] Competing order in two-band Bose-Hubbard chains with extended-range interactions
    Watanabe, Yuma
    Bhattacharya, Utso
    Chhajlany, Ravindra W.
    Arguello-Luengo, Javier
    Lewenstein, Maciej
    Grass, Tobias
    PHYSICAL REVIEW B, 2024, 109 (10)
  • [4] Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system
    Parra-Murillo, Carlos A.
    Madronero, Javier
    Wimberger, Sandro
    PHYSICAL REVIEW A, 2013, 88 (03)
  • [5] Photon Counting as a Probe of Superfluidity in a Two-Band Bose-Hubbard System Coupled to a Cavity Field
    Rajaram, Sara
    Trivedi, Nandini
    PHYSICAL REVIEW LETTERS, 2013, 111 (24)
  • [6] Occupation-Constrained Interband dynamics of a Non-Hermitian Two-Band Bose-Hubbard Hamiltonian
    Munoz-Arias, Manuel H.
    Parra-Murillo, Carlos A.
    Madronero, Javier
    Wimberger, Sandro
    FLUCTUATION AND NOISE LETTERS, 2017, 16 (03):
  • [7] The two-site Bose-Hubbard model
    Links, Jon
    Foerster, Angela
    Tonel, Arlei Prestes
    Santos, Gilberto
    ANNALES HENRI POINCARE, 2006, 7 (7-8): : 1591 - 1600
  • [8] Superconductivity in the two-band Hubbard model
    Koga, Akihisa
    Werner, Philipp
    PHYSICAL REVIEW B, 2015, 91 (08)
  • [9] Mott insulator-superfluid phase transition in two-band Bose-Hubbard models with gapless nodal lines
    Huang, Beibing
    Yang, Xiaosen
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2018, 51 (01)
  • [10] Solitonic eigenstates of the chaotic Bose-Hubbard Hamiltonian
    Venzl, H.
    Zech, T.
    Oles, B.
    Hiller, M.
    Mintert, F.
    Buchleitner, A.
    APPLIED PHYSICS B-LASERS AND OPTICS, 2010, 98 (04): : 647 - 652
12345